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Abstract
We present a Julia package
HypersurfaceRegions.jl for computing all connected
components in the complement of an arrangement of real algebraic hypersurfaces in
ℝ n .
Keywords
hypersurface arrangement, Morse theory, Euler
characteristic
Mathematical Subject Classification
Primary: 14Q30, 57R19, 68-04
Supplementary material
HypersurfaceRegions.jl
Milestones
Received: 20 September 2024
Revised: 30 December 2024
Accepted: 27 February 2025
Published: 12 April 2025
© 2025 MSP (Mathematical Sciences
Publishers).